ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
Question
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Chapter 8, Problem 22P

(a)

To determine

To construct:A choice table for interest tables from 0% to 100% assuming doing nothing is allowed.

(a)

Expert Solution
Check Mark

Answer to Problem 22P

From table below, from 0% to 4.7%, Alternative C should be preferred. Between 4.7% to 6.9%; Alternative B should be preferred. Alternative A should be preferred for interest rate between 6.9% to 8.2%.

Explanation of Solution

NPV of Alternative A =[450800(A/P,i,2)](P/A,i,8)

NPV of Alternative B =[4501,500(A/P,i,4)](P/A,i,8)

NPV of Alternative C =450(P/A,i,8)2,750

Choice table for interest from 0% to 100%

    Interest rate(A/P,i,2)(A/P,i,4)(P/A,i,8)ABC
    0% 0.500 0.250 8.000 400 600 850
    1% 0.508 0.256 7.652 337 502 693
    2% 0.515 0.263 7.325 278 411 546
    3% 0.523 0.269 7.020 224 326 409
    4% 0.530 0.275 6.733 174 248 280
    5% 0.538 0.282 6.463 128 174 158
    6% 0.545 0.289 6.210 85 106 44
    7% 0.553 0.295 5.971 45 43 (63)
    8% 0.561 0.302 5.747 8 (17) (164)
    9% 0.568 0.309 5.535 (26) (72) (259)
    10% 0.576 0.315 5.335 (58) (124) (349)
    11% 0.584 0.322 5.146 (88) (172) (434)
    12% 0.592 0.329 4.968 (116) (218) (515)
    13% 0.599 0.336 4.799 (142) (261) (591)
    14% 0.607 0.343 4.639 (166) (301) (663)
    15% 0.615 0.350 4.487 (189) (338) (731)
    16% 0.623 0.357 4.344 (210) (374) (795)
    17% 0.631 0.365 4.207 (230) (407) (857)
    18% 0.639 0.372 4.078 (249) (439) (915)
    19% 0.647 0.379 3.954 (266) (469) (971)
    20% 0.655 0.386 3.837 (283) (497) (1,023)
    21% 0.662 0.394 3.726 (298) (523) (1,073)
    22% 0.670 0.401 3.619 (313) (548) (1,121)
    23% 0.678 0.408 3.518 (326) (572) (1,167)
    24% 0.686 0.416 3.421 (339) (595) (1,210)
    25% 0.694 0.423 3.329 (351) (616) (1,252)
    26% 0.702 0.431 3.241 (363) (637) (1,292)
    27% 0.711 0.439 3.156 (374) (656) (1,330)
    28% 0.719 0.446 3.076 (384) (675) (1,366)
    29% 0.727 0.454 2.999 (394) (692) (1,401)
    30% 0.735 0.462 2.925 (403) (709) (1,434)
    31% 0.743 0.469 2.854 (412) (725) (1,466)
    32% 0.751 0.477 2.786 (420) (740) (1,496)
    33% 0.759 0.485 2.721 (428) (755) (1,526)
    34% 0.767 0.493 2.658 (436) (769) (1,554)
    35% 0.776 0.501 2.598 (443) (782) (1,581)
    36% 0.784 0.509 2.540 (450) (795) (1,607)
    37% 0.792 0.517 2.485 (456) (808) (1,632)
    38% 0.800 0.525 2.432 (462) (819) (1,656)
    39% 0.808 0.533 2.380 (468) (831) (1,679)
    40% 0.817 0.541 2.331 (474) (842) (1,701)
    41% 0.825 0.549 2.283 (479) (852) (1,723)
    42% 0.833 0.557 2.237 (484) (862) (1,743)
    43% 0.842 0.565 2.193 (489) (872) (1,763)
    44% 0.850 0.573 2.150 (494) (881) (1,783)
    45% 0.858 0.582 2.109 (499) (891) (1,801)
    46% 0.867 0.590 2.069 (503) (899) (1,819)
    47% 0.875 0.598 2.030 (507) (908) (1,836)
    48% 0.883 0.606 1.993 (511) (916) (1,853)
    49% 0.892 0.615 1.957 (515) (924) (1,869)
    50% 0.900 0.623 1.922 (519) (931) (1,885)
    51% 0.908 0.631 1.888 (523) (939) (1,900)
    52% 0.917 0.640 1.856 (526) (946) (1,915)
    53% 0.925 0.648 1.824 (529) (953) (1,929)
    54% 0.934 0.657 1.793 (533) (960) (1,943)
    55% 0.942 0.665 1.764 (536) (966) (1,956)
    56% 0.951 0.674 1.735 (539) (973) (1,969)
    57% 0.959 0.682 1.707 (542) (979) (1,982)
    58% 0.968 0.691 1.680 (544) (985) (1,994)
    59% 0.976 0.699 1.653 (547) (991) (2,006)
    60% 0.985 0.708 1.628 (550) (996) (2,017)
    61% 0.993 0.717 1.603 (552) (1,002) (2,029)
    62% 1.002 0.725 1.579 (555) (1,007) (2,039)
    63% 1.010 0.734 1.555 (557) (1,013) (2,050)
    64% 1.019 0.743 1.533 (559) (1,018) (2,060)
    65% 1.027 0.751 1.510 (562) (1,023) (2,070)
    66% 1.036 0.760 1.489 (564) (1,028) (2,080)
    67% 1.045 0.769 1.468 (566) (1,032) (2,089)
    68% 1.053 0.778 1.447 (568) (1,037) (2,099)
    69% 1.062 0.786 1.427 (570) (1,042) (2,108)
    70% 1.070 0.795 1.408 (572) (1,046) (2,116)
    71% 1.079 0.804 1.389 (574) (1,050) (2,125)
    72% 1.088 0.813 1.371 (576) (1,055) (2,133)
    73% 1.096 0.822 1.353 (578) (1,059) (2,141)
    74% 1.105 0.831 1.335 (579) (1,063) (2,149)
    75% 1.114 0.840 1.318 (581) (1,067) (2,157)
    76% 1.122 0.848 1.301 (583) (1,071) (2,164)
    77% 1.131 0.857 1.285 (585) (1,074) (2,172)
    78% 1.140 0.866 1.269 (586) (1,078) (2,179)
    79% 1.148 0.875 1.254 (588) (1,082) (2,186)
    80% 1.157 0.884 1.239 (589) (1,085) (2,193)
    81% 1.166 0.893 1.224 (591) (1,089) (2,199)
    82% 1.175 0.902 1.209 (592) (1,092) (2,206)
    83% 1.183 0.911 1.195 (594) (1,096) (2,212)
    84% 1.192 0.920 1.181 (595) (1,099) (2,218)
    85% 1.201 0.929 1.168 (596) (1,103) (2,224)
    86% 1.210 0.938 1.155 (598) (1,106) (2,230)
    87% 1.218 0.947 1.142 (599) (1,109) (2,236)
    88% 1.227 0.957 1.129 (600) (1,112) (2,242)
    89% 1.236 0.966 1.117 (602) (1,115) (2,247)
    90% 1.245 0.975 1.105 (603) (1,118) (2,253)
    91% 1.254 0.984 1.093 (604) (1,121) (2,258)
    92% 1.262 0.993 1.081 (605) (1,124) (2,264)
    93% 1.271 1.002 1.070 (607) (1,127) (2,269)
    94% 1.280 1.011 1.059 (608) (1,130) (2,274)
    95% 1.289 1.021 1.048 (609) (1,132) (2,279)
    96% 1.298 1.030 1.037 (610) (1,135) (2,283)
    97% 1.307 1.039 1.026 (611) (1,138) (2,288)
    98% 1.316 1.048 1.016 (612) (1,140) (2,293)
    99% 1.324 1.057 1.006 (613) (1,143) (2,297)
    100% 1.333 1.067 0.996 (614) (1,146) (2,302)

(b)

To determine

To construct:A choice table for interest tables from 0% to 100% assuming A, B o r C must be chosen.

(b)

Expert Solution
Check Mark

Answer to Problem 22P

From table below, from 0% to 4.7%, Alternative C should be preferred. Between 4.7% to 6.9%; Alternative B should be preferred. Beyond that Alternative A should be preferred for interest rate between 6.9% to 100%.

Explanation of Solution

NPV of Alternative A =[450800(A/P,i,2)](P/A,i,8)

NPV of Alternative B =[4501,500(A/P,i,4)](P/A,i,8)

NPV of Alternative C =450(P/A,i,8)2,750

Choice table for interest from 0% to 100%

    Interest rate(A/P,i,2)(A/P,i,4)(P/A,i,8)ABC
    0% 0.500 0.250 8.000 400 600 850
    1% 0.508 0.256 7.652 337 502 693
    2% 0.515 0.263 7.325 278 411 546
    3% 0.523 0.269 7.020 224 326 409
    4% 0.530 0.275 6.733 174 248 280
    5% 0.538 0.282 6.463 128 174 158
    6% 0.545 0.289 6.210 85 106 44
    7% 0.553 0.295 5.971 45 43 (63)
    8% 0.561 0.302 5.747 8 (17) (164)
    9% 0.568 0.309 5.535 (26) (72) (259)
    10% 0.576 0.315 5.335 (58) (124) (349)
    11% 0.584 0.322 5.146 (88) (172) (434)
    12% 0.592 0.329 4.968 (116) (218) (515)
    13% 0.599 0.336 4.799 (142) (261) (591)
    14% 0.607 0.343 4.639 (166) (301) (663)
    15% 0.615 0.350 4.487 (189) (338) (731)
    16% 0.623 0.357 4.344 (210) (374) (795)
    17% 0.631 0.365 4.207 (230) (407) (857)
    18% 0.639 0.372 4.078 (249) (439) (915)
    19% 0.647 0.379 3.954 (266) (469) (971)
    20% 0.655 0.386 3.837 (283) (497) (1,023)
    21% 0.662 0.394 3.726 (298) (523) (1,073)
    22% 0.670 0.401 3.619 (313) (548) (1,121)
    23% 0.678 0.408 3.518 (326) (572) (1,167)
    24% 0.686 0.416 3.421 (339) (595) (1,210)
    25% 0.694 0.423 3.329 (351) (616) (1,252)
    26% 0.702 0.431 3.241 (363) (637) (1,292)
    27% 0.711 0.439 3.156 (374) (656) (1,330)
    28% 0.719 0.446 3.076 (384) (675) (1,366)
    29% 0.727 0.454 2.999 (394) (692) (1,401)
    30% 0.735 0.462 2.925 (403) (709) (1,434)
    31% 0.743 0.469 2.854 (412) (725) (1,466)
    32% 0.751 0.477 2.786 (420) (740) (1,496)
    33% 0.759 0.485 2.721 (428) (755) (1,526)
    34% 0.767 0.493 2.658 (436) (769) (1,554)
    35% 0.776 0.501 2.598 (443) (782) (1,581)
    36% 0.784 0.509 2.540 (450) (795) (1,607)
    37% 0.792 0.517 2.485 (456) (808) (1,632)
    38% 0.800 0.525 2.432 (462) (819) (1,656)
    39% 0.808 0.533 2.380 (468) (831) (1,679)
    40% 0.817 0.541 2.331 (474) (842) (1,701)
    41% 0.825 0.549 2.283 (479) (852) (1,723)
    42% 0.833 0.557 2.237 (484) (862) (1,743)
    43% 0.842 0.565 2.193 (489) (872) (1,763)
    44% 0.850 0.573 2.150 (494) (881) (1,783)
    45% 0.858 0.582 2.109 (499) (891) (1,801)
    46% 0.867 0.590 2.069 (503) (899) (1,819)
    47% 0.875 0.598 2.030 (507) (908) (1,836)
    48% 0.883 0.606 1.993 (511) (916) (1,853)
    49% 0.892 0.615 1.957 (515) (924) (1,869)
    50% 0.900 0.623 1.922 (519) (931) (1,885)
    51% 0.908 0.631 1.888 (523) (939) (1,900)
    52% 0.917 0.640 1.856 (526) (946) (1,915)
    53% 0.925 0.648 1.824 (529) (953) (1,929)
    54% 0.934 0.657 1.793 (533) (960) (1,943)
    55% 0.942 0.665 1.764 (536) (966) (1,956)
    56% 0.951 0.674 1.735 (539) (973) (1,969)
    57% 0.959 0.682 1.707 (542) (979) (1,982)
    58% 0.968 0.691 1.680 (544) (985) (1,994)
    59% 0.976 0.699 1.653 (547) (991) (2,006)
    60% 0.985 0.708 1.628 (550) (996) (2,017)
    61% 0.993 0.717 1.603 (552) (1,002) (2,029)
    62% 1.002 0.725 1.579 (555) (1,007) (2,039)
    63% 1.010 0.734 1.555 (557) (1,013) (2,050)
    64% 1.019 0.743 1.533 (559) (1,018) (2,060)
    65% 1.027 0.751 1.510 (562) (1,023) (2,070)
    66% 1.036 0.760 1.489 (564) (1,028) (2,080)
    67% 1.045 0.769 1.468 (566) (1,032) (2,089)
    68% 1.053 0.778 1.447 (568) (1,037) (2,099)
    69% 1.062 0.786 1.427 (570) (1,042) (2,108)
    70% 1.070 0.795 1.408 (572) (1,046) (2,116)
    71% 1.079 0.804 1.389 (574) (1,050) (2,125)
    72% 1.088 0.813 1.371 (576) (1,055) (2,133)
    73% 1.096 0.822 1.353 (578) (1,059) (2,141)
    74% 1.105 0.831 1.335 (579) (1,063) (2,149)
    75% 1.114 0.840 1.318 (581) (1,067) (2,157)
    76% 1.122 0.848 1.301 (583) (1,071) (2,164)
    77% 1.131 0.857 1.285 (585) (1,074) (2,172)
    78% 1.140 0.866 1.269 (586) (1,078) (2,179)
    79% 1.148 0.875 1.254 (588) (1,082) (2,186)
    80% 1.157 0.884 1.239 (589) (1,085) (2,193)
    81% 1.166 0.893 1.224 (591) (1,089) (2,199)
    82% 1.175 0.902 1.209 (592) (1,092) (2,206)
    83% 1.183 0.911 1.195 (594) (1,096) (2,212)
    84% 1.192 0.920 1.181 (595) (1,099) (2,218)
    85% 1.201 0.929 1.168 (596) (1,103) (2,224)
    86% 1.210 0.938 1.155 (598) (1,106) (2,230)
    87% 1.218 0.947 1.142 (599) (1,109) (2,236)
    88% 1.227 0.957 1.129 (600) (1,112) (2,242)
    89% 1.236 0.966 1.117 (602) (1,115) (2,247)
    90% 1.245 0.975 1.105 (603) (1,118) (2,253)
    91% 1.254 0.984 1.093 (604) (1,121) (2,258)
    92% 1.262 0.993 1.081 (605) (1,124) (2,264)
    93% 1.271 1.002 1.070 (607) (1,127) (2,269)
    94% 1.280 1.011 1.059 (608) (1,130) (2,274)
    95% 1.289 1.021 1.048 (609) (1,132) (2,279)
    96% 1.298 1.030 1.037 (610) (1,135) (2,283)
    97% 1.307 1.039 1.026 (611) (1,138) (2,288)
    98% 1.316 1.048 1.016 (612) (1,140) (2,293)
    99% 1.324 1.057 1.006 (613) (1,143) (2,297)
    100% 1.333 1.067 0.996 (614) (1,146) (2,302)

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